# How do you determine dy/dx given #x^2+y^2=1.1#?

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To determine dy/dx given the equation x^2 + y^2 = 1.1, you can differentiate both sides of the equation with respect to x using implicit differentiation.

The derivative of x^2 with respect to x is 2x, and the derivative of y^2 with respect to x is 2y(dy/dx).

So, differentiating x^2 + y^2 = 1.1 with respect to x, you get:

2x + 2y(dy/dx) = 0

Now, solve for dy/dx:

dy/dx = -2x / (2y) = -x / y

Therefore, dy/dx = -x / y.

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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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